Wave Seminar : A remark on Rellich’s theorem
 Date

2015119 16:30 
2015119 18:00
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Kenichi Ito (Kobe University)

 We consider the Schr\"odinger operator on a manifold with Euclidean and/or hyperbolic ends, and discuss the maximal exponential decay rates for generalized eigenfunctions associated with complex eigenvalues. The proof depends on a variation of the Mourre commutator argument. In the latter part of talk we mention the asymptotic behaviors of $B_0^*$eigenfucntions associated with real eigenvalues above a critical energy, and also their relations to the scattering matrix.
This talk is based on a joint work with Erik Skibsted, Aarhus University.